Let's solve the equation step by step:

Given equation:
\[
1 - x = 12 - 2x
\]

### Step 1: Move all the \(x\)-terms to one side of the equation.
Add \(2x\) to both sides:
\[
1 - x + 2x = 12 - 2x + 2x
\]
This simplifies to:
\[
1 + x = 12
\]

### Step 2: Move the constant term to the other side.
Subtract 1 from both sides:
\[
1 + x - 1 = 12 - 1
\]
This simplifies to:
\[
x = 11
\]

Thus, the solution is \(x = 11\).

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How would you solve \(2x - 3 = x + 7\)?
2. What if the equation was \(3 - x = 15 - 2x\)?
3. How can you check the solution to an equation?
4. How would you handle an equation with fractions like \(\frac{1}{2}x - 3 = 4 - x\)?
5. Can you solve an equation where all terms are on the same side, like \(2x - 3x + 5 = 7\)?

**Tip:** When solving equations, always simplify step by step, keeping the variable on one side for easy calculation.

Learn how to solve the linear equation 1 - x = 12 - 2x with a clear, step-by-step solution. This problem demonstrates key algebraic concepts, including moving terms across the equation and simplifying linear equations. Suitable for students in Grades 6-8.

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